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287738940 = 223517282097
BaseRepresentation
bin10001001001101…
…000110000111100
3202001102122121210
4101021220300330
51042130121230
644315124420
710062512016
oct2111506074
9661378553
10287738940
1113846a585
1280443710
13477c7038
142a3011b6
151a3daeb0
hex11268c3c

287738940 has 48 divisors (see below), whose sum is σ = 853064352. Its totient is φ = 72216576.

The previous prime is 287738939. The next prime is 287738951. The reversal of 287738940 is 49837782.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 287738940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140029 + ... + 142068.

It is an arithmetic number, because the mean of its divisors is an integer number (17772174).

Almost surely, 2287738940 is an apocalyptic number.

287738940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287738940 is an abundant number, since it is smaller than the sum of its proper divisors (565325412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

287738940 is a wasteful number, since it uses less digits than its factorization.

287738940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282126 (or 282124 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 287738940 is about 16962.8694506560. The cubic root of 287738940 is about 660.1858521597.

The spelling of 287738940 in words is "two hundred eighty-seven million, seven hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 282097 564194 846291 1128388 1410485 1692582 2820970 3385164 4231455 4795649 5641940 8462910 9591298 14386947 16925820 19182596 23978245 28773894 47956490 57547788 71934735 95912980 143869470 287738940